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We present a scheme for generating robust and persistent entanglement betweenqubits that do not interact and that are separated by a long and lossytransmission channel, using Markovian reservoir engineering. The proposal usesonly the correlated decay into the common channel of remotely separated, drivensingle-photon qubit transitions. This simple scheme is generic and applicableto various experimental implementations, including circuit and cavity QED, withlittle experimental overhead compared with methods requiring dynamic control,initialization, measurement, or feedback. In addition to avoiding theseinefficiencies, the simple protocol is highly robust against noise,miscalibration, and loss in the channel. We find high quality solutions over awide range of parameters and show that the optimal strategy reflects atransition from ballistic to diffusive photon transmission, going fromsymmetrically and coherently driving a common steady state to asymmetricallyabsorbing photons that are emitted from one qubit by the second. Detailedanalysis of the role of the transmission channel shows that allowingbi-directional decay drastically increases indistinguishability and therebyquadratically suppresses infidelity.

Backaction driven, robust, steady-state long-distance qubit entanglement over lossy channels